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Finding the Third Proportional to 79,359 and 170,256

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Solution

The third proportional to 79,359 and 170,256 is: 365,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,359 : 170,256 = 170,256 : x
  2. Step 2: Convert to fraction form
    79,359/170,256 = 170,256/x
  3. Step 3: Cross multiply
    79,359x = 170,256 × 170,256
  4. Step 4: Simplify right side
    79,359x = 28,987,105,536
  5. Step 5: Solve for x
    x = 28,987,105,536/79,359
  6. Step 6: Final answer
    x = 365,265.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.